SOLUTION: determine whether a triangle with the given vertices is a right triangle D (6,4),E (9,10),F(-2,8) J (1,11),K (-1,-3), L(-7,5) A (-7,2),B(-3,10) C(0,-2)

Question 1144139: determine whether a triangle with the given vertices is a right triangle
D (6,4),E (9,10),F(-2,8)
J (1,11),K (-1,-3), L(-7,5)
A (-7,2),B(-3,10) C(0,-2)
Answer by ikleyn(52898) (Show Source): You can put this solution on YOUR website!
.

The simplest way - requiring minimum calculations - is to calculate three slopes for every side of the triangle

and to check if there are two values of the slopes that are inversely opposite.


If you find such a pair, it means that the corresponding sides are perpendicular.


I will do it for you for the first three points.


slope(DE) =  =  = 2.


Slope(DF) =  =  =  = .



    (!) Stop at this point (!)   

        Slope(DE) has inversely opposite value "2" to slope(DF) value of "  ".



Hence, the side DE is perpendicular to side DF.

Do other cases similarly.

Report your progress (!!)

RELATED QUESTIONS
Determine whether the given coordinates are the vertices of a triangle. 1. A(3,5),... (answered by richwmiller,Edwin McCravy)

a b c d e f g h i j k l m n o p q r (answered by ewatrrr)

Let U = {a, b, c, d, e, f, g, h, i, j, k, l, m, n}, L = {a, b, c, d, e, f, g} and S = {a, (answered by Edwin McCravy)

(answered by ewatrrr)

Math Encrypt the message “BYE” using the encryption e equals left parenthesis 5 m... (answered by math_tutor2020)

Determine whether the relation is a function. {(-5, -4), (-2, 9), (-1, -2), (-1, 7)} (answered by Edwin McCravy)

Could you please help me? Im sick with a bug and cant think straight :/ A) 1. A ⊃ (answered by solver91311)

please help. i need answers. i have school tommorow and i need these by tommorow.pleasee. (answered by solver91311)

Triangle ABC has vertices A(4, 8), B(2, �4), and C(6, 0). Find the vertices of A�B�C�... (answered by ewatrrr)